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Finding the Third Proportional to 106,034 and 231,120

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Solution

The third proportional to 106,034 and 231,120 is: 503,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,034 : 231,120 = 231,120 : x
  2. Step 2: Convert to fraction form
    106,034/231,120 = 231,120/x
  3. Step 3: Cross multiply
    106,034x = 231,120 × 231,120
  4. Step 4: Simplify right side
    106,034x = 53,416,454,400
  5. Step 5: Solve for x
    x = 53,416,454,400/106,034
  6. Step 6: Final answer
    x = 503,767.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.